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2012330304 = 2634388181
BaseRepresentation
bin111011111110001…
…1011100101000000
312012020112222020000
41313330123211000
513110124032204
6531403120000
7100603345125
oct16774334500
95166488200
102012330304
119429a95a6
12481b13000
13260ba37ba
1415138874c
15bb9eb039
hex77f1b940

2012330304 has 70 divisors (see below), whose sum is σ = 5965192794. Its totient is φ = 670775040.

The previous prime is 2012330293. The next prime is 2012330321. The reversal of 2012330304 is 4030332102.

2012330304 is a `hidden beast` number, since 20 + 12 + 330 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1145145600 + 867184704 = 33840^2 + 29448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 188907 + ... + 199274.

Almost surely, 22012330304 is an apocalyptic number.

2012330304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2012330304 is an abundant number, since it is smaller than the sum of its proper divisors (3952862490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012330304 is an equidigital number, since it uses as much as digits as its factorization.

2012330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388205 (or 388186 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2012330304 is about 44859.0047147727. The cubic root of 2012330304 is about 1262.5049486980.

Adding to 2012330304 its reverse (4030332102), we get a palindrome (6042662406).

The spelling of 2012330304 in words is "two billion, twelve million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 388181 776362 1164543 1552724 2329086 3105448 3493629 4658172 6210896 6987258 9316344 10480887 12421792 13974516 18632688 20961774 24843584 27949032 31442661 37265376 41923548 55898064 62885322 74530752 83847096 111796128 125770644 167694192 223592256 251541288 335388384 503082576 670776768 1006165152 2012330304